In this paper, using hydrodynamic entropy, we quantify multiscale disorder in Euler and
hydrodynamic turbulence. These examples illustrate that the hydrodynamic entropy is not …

In this letter, we demonstrate energy transfers and thermalization in an isolated ensemble of
realistic gas particles. We perform a grid-free classical molecular dynamics simulation of two …

Turbulence is a widely observed state of fluid flows, characterized by complex, nonlinear
interactions between motions across a broad spectrum of length and time scales. While …

Fundamental laws of physics are symmetric under time reversal (T) symmetry, but the T
symmetry is strongly broken in the macroscopic world. In this Perspective, I review T …

This thesis investigates two-dimensional (2D) incompressible turbulence with three
velocitycomponents. Such systems will be called 2D3C flows. Two main classes are …

Incompressible Euler equation has zero viscosity and no external forcing, hence, it can be
treated as an isolated system. Lee and Kraichnan argued that Euler turbulence attains …